Bergische Universität Wuppertal Fachbereich Mathematik und Naturwissenschaften Angewandte Mathematik - Numerische Analysis (AMNA)

People Research Publications Teaching

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Summary

The goal of the proposed research project is the development of the fully-discrete transparent boundary conditions for the hierarchies of parabolic equations where the input term (i.e. right-hand side) of the n-th equation is obtained from the solution of n-1-th equation.

This research study will be a natural combination of the ideas emerging from the recent papers of the Vladivostok research group and the method introduced by the dissertation of Ehrhardt and significantly improved in his follow-up works. This combination of ideas can be successfully developed from the close collaboration in the framework of the proposed project.

Scientific Objectives

German team:

• Matthias Ehrhardt (Leader)

Russian team:

• Pavel Petrov (Leader)
• M. Yu Trofimov
• A.D. Zakharenko

German institution:

• Department of Mathematics and Informatics, Faculty of Mathematics and Natural Sciences, University of Wuppertal.

Russian institution:

• V.I. Il'ichev Pacific Oceanological Institute, Far Eastern Federal University, Vladivostok.

Publications related to the Project

[PeEh15a]	P. Petrov, M. Ehrhardt,
	On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation, accepted: Applied Mathematics Letters, 2015
[PeEh15b]	P. Petrov, M. Ehrhardt,
	Transparent boundary conditions for the hierarchies of high-order parabolic approximations , Preprint 15/??, 2015. submitted to Wave Motion

Talks related to the Project

Posters related to the Project

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